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texto impreso
La tesis se plantea como objetivo principal la caracterización de espacios prehilbert a través de propiedades de localización de centros de Chebishev, de centros de Fermat, de p-centros, o, con más generalidad, de gamma-centros (gamma norma monó[...]texto impreso
Let X be a Banach space, (Omega, Sigma, mu) a finite measure space, and L-1 (mu, X) the Banach space of X-valued Bochner mu-integrable functions defined on Omega endowed with its usual norm. Let us suppose that Sigma(0) is a sub-sigma-algebra of[...]texto impreso
Let X be a a real normed linear space of dimension at least three, with unit sphere S-X. In this paper we prove that X is an inner product space if and only if every three point subset of S-X has a Chebyshev center in its convex hull. We also gi[...]texto impreso
We study some characterizations of inner product spaces given in the literature. Among other things, we give an example showing that one of the characterizations given in the classical book of Amir (1986) is not correct.
